Question
The input-output table below is for the function p(h). Use the table to answer the question.
p(h) for Alice's Company
Hours of Training
Monthly Pay
10
$1100
20
$1200
30
$1300
40
$1400
50
$1500
60
$1600
70
$1700
What is the domain of p(h)? choose your answer...
What is the range of p(h)? choose your answer...
p(h) for Alice's Company
Hours of Training
Monthly Pay
10
$1100
20
$1200
30
$1300
40
$1400
50
$1500
60
$1600
70
$1700
What is the domain of p(h)? choose your answer...
What is the range of p(h)? choose your answer...
Answers
GPT-4o mini
The function \( p(h) \) represents the monthly pay based on the hours of training \( h \).
### Domain of \( p(h) \)
The domain consists of all the input values (hours of training) for which the function is defined. Based on the table provided:
- The hours of training, \( h \), are: 10, 20, 30, 40, 50, 60, and 70.
Thus, the domain of \( p(h) \) is:
\[
\text{Domain} = \{ 10, 20, 30, 40, 50, 60, 70 \}
\]
### Range of \( p(h) \)
The range consists of all the output values (monthly pay) that correspond to the input values in the domain. Based on the table:
- The monthly pay values are: $1100, $1200, $1300, $1400, $1500, $1600, and $1700.
Thus, the range of \( p(h) \) is:
\[
\text{Range} = \{ 1100, 1200, 1300, 1400, 1500, 1600, 1700 \}
\]
### Summary
- Domain: \( \{ 10, 20, 30, 40, 50, 60, 70 \} \)
- Range: \( \{ 1100, 1200, 1300, 1400, 1500, 1600, 1700 \} \)
### Domain of \( p(h) \)
The domain consists of all the input values (hours of training) for which the function is defined. Based on the table provided:
- The hours of training, \( h \), are: 10, 20, 30, 40, 50, 60, and 70.
Thus, the domain of \( p(h) \) is:
\[
\text{Domain} = \{ 10, 20, 30, 40, 50, 60, 70 \}
\]
### Range of \( p(h) \)
The range consists of all the output values (monthly pay) that correspond to the input values in the domain. Based on the table:
- The monthly pay values are: $1100, $1200, $1300, $1400, $1500, $1600, and $1700.
Thus, the range of \( p(h) \) is:
\[
\text{Range} = \{ 1100, 1200, 1300, 1400, 1500, 1600, 1700 \}
\]
### Summary
- Domain: \( \{ 10, 20, 30, 40, 50, 60, 70 \} \)
- Range: \( \{ 1100, 1200, 1300, 1400, 1500, 1600, 1700 \} \)